553387 ÷ 8 
Let's see how many times 8 fits into 553387.

Going ahead to step 1:
8 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 8

Let's proceed to step 2:
When dividing 55 by 8, we get 6 with a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 48 from 55, we get 7.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 8

Step 3:
8 goes into 73 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 69.0
If we subtract 72 from 73, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 8

Step 4:
When dividing 13 by 8, we get 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 691.0
Deduct 8 from 13 and we're left with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 8

Moving on to step 5:
The number 8 fits into 58 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 6917.0
If we subtract 56 from 58, we get 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 8

Going ahead to step 6:
When dividing 27 by 8, we get 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 69173.0
The remainder is 3 after subtracting 24 from 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
8 can be fit into 30 3 times, resulting in a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 69173.3
If we take 24 away from 30, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
8 can be fit into 60 7 times, resulting in a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 69173.37
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
If we divide 40 by 8, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 69173.375
Subtract 40 from 40 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
If we divide 0 by 8, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 69173.375
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 11:
If we divide 0 by 8, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 69173.375
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 69173.375 with a remainder of 0.0.